Free Printable Algebra I Final Exam Review

1.

-2(x+2) < 14

a)

x < - 5

b)

x > -5

c)

x < -9

d)

x > -9

2.

Solve the inequality.

$2\left(b\ -\ 8\right)\ >\ 12$

a)

b > 20

b)

b > 6

c)

b > 14

d)

b > 20

3.

Daniel can spend no more than $40 at the fair. If admission into the fair is $10 and the rides cost $1.50 each, which inequality represents the greatest number of rides Daniel can go on?

a)

10x + 1.50 ≥ 40

b)

1.50x + 10 ≤ 40

c)

1.50x + 10 <40

d)

10x + 1.50 < 40

4.

What will the equation look like after you combine like terms?

a)

-5x + 5 = 35

b)

x + 5 = 35

c)

5x + 5 = 35

d)

-x + 5 = 35

5.

What is the first step in the equation:

2x - 3 + 4x = 27

a)

Combine Like Terms

b)

Add 3 on both sides

c)

Divide by 2 on both sides

d)

Subtract 4x from both sides

6.

Solve for n:

4n - 1 = 6n + 8 - 8n + 15

(a)

7.

3(x + 5) – 6x = -18

(a)

8.

Where did Rajendra make an error in his calculation?

a)

Step 1

b)

Step 2

c)

Step 3

d)

Rajendra is correct.

9.

Solve for x:
4 - 2(x - 3) = 24

a)

- 7

b)

7

c)

14

d)

- 14

10.

$-118=-5\left(4+7x\right)+7$

a)

$-5$

b)

$-9$

c)

$3$

d)

$-1$

11.

Solve:

$-4x+3\left(5x+10\right)=-36$

a)

x = 12

b)

x = -10

c)

x = -6

d)

x = -16

12.

Solve the following for d: 0.5(2x-6)=0.2(4x-10)

a)

-5

b)

5

c)

0.5

d)

-10

13.

-5h + 2 ≥ -8

a)

h≤2

b)

h>4

c)

h≤3

d)

h≥2

14.

6x + 2 + 6x < 14

a)

x < 1

b)

x > 1

c)

x < -1

d)

x > -1

15.

-2(5 + 6n) < 6(8 − 2n)

a)

no solution

b)

infinite solution

c)

x < 0

d)

x > 0

16.

You want to spend at most $1200 on a new laptop. If you make a $400 down payment, then pay the same amount every month for 12 months. Which Inequality could be use to solve to find out how much you can pay each month.

a)

12x + 1200 > 400

b)

12x + 400 < 1200

c)

12x + 400 > 1200

d)

12x + 400 < 1200

17.

Your taxi fare is $2.50 per mile, plus a $5 fee. You cannot exceed $20. Which inequality models this scenario?

a)

5x + 2.50 ≤ 20

b)

2.50x + 5 < 20

c)

2.50x + 5 ≤ 20

d)

7.50x < 20

18.

Is the relation a function? Why.

a)

Yes, because the x-value 11 has two y-values pair with it.

b)

Yes, because each x-value has only one y-value paired with it.

c)

No, because the x-value 11 has two y-values pair with it.

d)

No, because each x-value has only one y-value paired with it.

19.

For the function {(0,1), (1,-3), (2,-4), (-4,1)}, write the domain and range.

a)

D: {1, -3, -4,}
R: {0, 1, 2, -4}

b)

D:{0, 1, 2, -4}
R:{1, -3, -4}

c)

D:{0, 1, 2, 3, 4}
R:{1, -3, -4}

d)

D:{0, 1, 2, 3}
R:{0, 1, 2, 3, 4}

20.

For the function {(0,1), (1,-3), (2,-4), (-4,1), (x,0)}, what can x NOT be in order for this to be a function?

a)

0, 1, 2, 4

b)

0, 1, 2, -4

c)

1, -3, -4,

d)

0, 1, -4, 2

21.

Find the slope

a)

-5/3

b)

-3/5

c)

5/3

d)

3/5

22.

Find the slope:

a)

3/4

b)

4/3

c)

-3/4

d)

-4/3

23.

Find the slope of the line that passes through:
(6,7) and (4,2)

a)

2/5

b)

-5/2

c)

5/2

d)

-1/2

24.

What is the slope represented in the table?

a)

slope: $\frac{1}{2}$

b)

slope: $2$

c)

slope: $-\frac{1}{2}$

d)

slope: $-2$

25.

What is the slope?

a)

Positive

b)

Negative
Negative

c)

Zero

d)

Undefined

26.

What is the Slope?

a)

Positive

b)

Negative

c)

Zero

d)

No Slope

27.

Find the slope of the line that goes through the points

(−1,−2) and (−3,−4).

a)

1

b)

2

c)

3

d)

4

28.

What does the slope represent in this context?

a)

The number of eggs that fit in the basket

b)

The mass per egg

c)

The mass of the basket

d)

Amount of eggs per basket

29.

An elevator travels down from the top floor of a skyscraper. Its height, in feet, is given by the equation h=800-8t, where h represents the elevator's height, in feet, and t represents the time, in seconds. What could the number 8 represent in the equation?

a)

How quickly the elevator decends, in feet per minute

b)

The height the elevator stars at

c)

The elevator's final height

d)

The elevator's height after one second

30.

What does the slope represent in this situation?

a)

The temperature starts at 35 degrees at 9 am.

b)

The temperatures rises 35 degrees per hour.

c)

The temperature rises 5 degrees per hour.

d)

The temperature rises 10 degrees per hour.

31.

Which statement is true about the table?

a)

The flower starts with a height of 0 inches and grows at a rate of 8 inches per day.

b)

The flower starts with a height of 3 inches and grows at a rate of 8 inches per day.

c)

The flower starts with a height of 8 inches and grows at a rate of 11 inches per day.

d)

The flower starts with a height of 8 inches and grows at a rate of 3 inches per day.

32.

A fitness club opens with 80 members. Each month the membership increases by 15 members. Which equation represents the relationship between the number of months the club has been opened, x, and the total fitness club membership, y?

a)

y = 15x

b)

y = 15x + 80

c)

y = x + 15

d)

y = 80x + 15

33.

Suppose that the water level of a river is 34 feet and that it is receding at a rate of 0.5 foot per day. Write an equation to represent the given situation.

a)

y = -0.5x + 34

b)

y = -34x + 0.5

c)

y = 34x + 0.5

d)

y = 0.5x + 34

34.

Which of the following has a rate of change of 3?

a)

A

b)

B

c)

C

d)

D

35.

Find the rate of change.

a)

-2 minutes per gallon

b)

-20 minutes per gallon

c)

-2 gallons per minute

d)

-20 gallons per minute

36.

Which company shows a greater rate of change?

a)

Water's Edge Rafts

b)

Ryan's Rafts

c)

They are equal

37.

What is the initial value?

a)

0

b)

1

c)

8

d)

10

38.

Who has the greater rate of change?

a)

Braden has the greater rate of change with 60/3

b)

Omar has the greater rate of change with 100

c)

Braden has the greatest rate of change with 60

d)

They both have the same rate of change

39.

Who has the greater rate of change?

a)

Tyler has the greater rate of change with 2/3

b)

Aubri has the greater rate of change with 3/2

c)

Tyler has the greater rate of change with 3/2

d)

They have the same rate of change.

40.

What is the x- intercept of the graph of 3x+4y=24

a)

12

b)

8

c)

-12

d)

-8

41.

What is the y-intercept of the graph of 3x+4y=24

a)

-6

b)

6

c)

15

d)

-15

42.

Give the x-intercept
3x + 8y = 24

a)

(8, 0)

b)

(0, 8)

c)

(3, 0)

d)

(0, 3)

43.

What is the y-intercept:

7x + y = 10

a)

b = -10

b)

b = 1/7

c)

b = 7

d)

b = 10

44.

What is the x and y intercept for the following equation ?
4x - 10y = 20

a)

x - int = 4
y-int = -10

b)

x-int = 5
y-int = 2

c)

x - int = 5
y int = -2

d)

x -int = 4
y -int = -10

45.

Which point below is NOT part of the solution set?

a)

(0, 0)

b)

(-10, -10)

c)

(-1, 5)

d)

(5, 20)

46.

Consider the function y < 2x+3. Which is true?

a)

The line would be solid with shading above.

b)

The line would be dashed with shading above.

c)

The line would be solid with shading below.

d)

The line would be dashed with shading below.

47.

Which linear inequality matches the graph?

a)

y ≤ -2x - 1

b)

y ≥ -2x - 1

c)

y ≤ 2x - 1

d)

y ≥ 2x - 1

48.

When graphing an inequality, which symbols tell you to use a dashed line?

a)

<, >

b)

≤, ≥

49.

When graphing an inequality, which symbols tell you to use a solid line?

a)

<, >

b)

≤, ≥

50.

which equation best represents this graph?

a)

y < 1/2x + 1

b)

y < 1/2x + 2

c)

y >1/2x + 2

d)

y > 2x

51.

Select the correct graph for each inequality.

a)

A

b)

B

c)

C

d)

_D

52.

Which of the graphs represents the linear inequality $y>\frac{1}{2}x+3$ ?

a)

b)

c)

d)

53.

Which of the graphs represents the linear inequality $y\le-x-4$ ?

a)

b)

c)

d)

54.

Is the point (3, 1) a solution for the following inequality? Choose the best answer that has the best explanation.

a)

Yes because it is located in the shaded region.

b)

No because it is located on the line and the line is dotted.

c)

Yes because it is located on the line.

d)

No because it is in the shaded region.

55.

Which inequality below is equivalent to

3x - y > 4

a)

y > 3x - 4

b)

y < -3x + 4

c)

y < 3x - 4

d)

y > -3x + 4

56.

What is the solution?

a)

(1, -1)

b)

(-1, 1)

c)

(0, -2)

d)

(0, 1)

57.

How many solutions?

a)

One Solution

b)

No solution

c)

Infinitely Many Solutions

58.

Solve for x and y
3x + 2y = 16
7x + y = 19

a)

(-2,5)

b)

(-2,-5)

c)

(2,-5)

d)

(2,5)

59.

x + 2y = -4
x - 2y = 8

a)

(2,5)

b)

(2,-3)

c)

(2,-2)

d)

(-3,2)

60.

Solve the system of equations by elimination.
-x + y = -13
-8x - 4y = -8

a)

(5, 8)

b)

(5, -8)

c)

(-5, -18)

d)

(-5, 8)

61.

Nancy went to the grocery story. On Monday she purchased 4 apples and 6 bananas for a total of $13. On Wednesday she purchased 3 apples and 7 bananas for a total of $13.50. Which system of equations represents the situation?

a)

4x + 6y = 3

13.5x - 13y = 6

b)

x + y = 4

x - y = 6

c)

4x + 6y = 13

3x + 7y = 13.5

d)

4x - 6y = 13

3x - 7y = 13.5

62.

If a system of equations has no solution, what does the graph look like?

a)

intersecting lines

b)

parallel lines

c)

skew lines

d)

intersecting lines

63.

The ordered pair that satisfies all equations in the system.

a)

system of equations

b)

function

c)

graph

d)

solution of a system

64.

Is (-2,4) a solution to the system?

a)

Solution

b)

Not a solution

65.

Is (0,0) a solution to the system?

a)

Solution

b)

Not a solution

66.

Which system of inequalities is shown?

a)

y ≥ -x - 1
y < x + 4

b)

y < -x - 1
y ≥ x + 4

c)

y > -x - 1
y ≥ x + 4

d)

y > -x - 1
y ≥ x + 3

67.

what is the resulting combined equation for the system below?

9x + y = 12

-9x + y = 6

a)

-18x = 18

b)

y = 18

c)

2y= 18

d)

18x + 2y = 18

68.

what does the top equation need to be multiplied by to create a zero pair?

2x - 6y = 20

2x + 5y = -11

a)

-1

b)

1

c)

-2

d)

2

69.

What is the domain of the function shown?

a)

All real numbers

b)

$y>0$

c)

All real numbers greater than 1

d)

$y<0$

70.

What is the range of the function shown?

a)

All real numbers

b)

$y>0$

c)

All real numbers greater than 1

d)

$y<0$

71.

What is the y-intercept of the function?

a)

2

b)

3

c)

1

d)

-2

72.

Is the pictured graph growth, decay, or linear or none?

a)

Exponential Growth

b)

Exponential Decay

73.

Is the following function and example of decay or growth?

f(x)=2(0.85)^x

a)

Exponential Decay

b)

Exponential Growth

74.

What type of function is y = 7(5/4)^x?

a)

Exponential Growth

b)

Exponential Decay

75.

Which represents exponential decay?

a)

A

b)

B

c)

C

d)

D

76.

In an exponential function, what does the 'a' represent?

a)

SLOPE

b)

RATE OF CHANGE

c)

Y-INTERCEPT

d)

COMMON RATIO

77.

Identify the y-intercept (initial value) in the function f(x)=13(.27)^x

a)

(.27)^x

b)

.27

c)

13

d)

3.51

78.

True or False: This is an exponential function.

a)

True

b)

False

79.

Which function models this table?

a)

$f\left(x\right)=2\cdot4^x$

b)

$f\left(x\right)=4^x$

c)

$f\left(x\right)=4\cdot2^x$

d)

$f\left(x\right)=8^x$

80.

What is the equation of the horizontal asymptote for following exponential function?

a)

y = -4

b)

y > -4

c)

y < -4

d)

(0, -3)

81.

What is the equation of the horizontal asymptote for following exponential function?

a)

y = -2

b)

y > -2

c)

y < -2

d)

(0, -2)

82.

What is the equation of the horizontal asymptote for following exponential function?

a)

y = 1

b)

y = 2

c)

y > 1

d)

(0, 2)

83.

Identify the common ratio (multiplier) of the function f(x)=2(4)^x.

a)

2

b)

4

c)

(2)^x

d)

8

84.

Is the graph linear, exponential or neither?

a)

Linear

b)

Exponential

c)

Neither

85.

True or False: This is an exponential function.

a)

True

b)

False

86.

Which variable represents time passed in the function y=ab^x?

a)

y

b)

a

c)

b

d)

x

87.

If y = ab^x represents an exponential decay function, what are the possible values of b?

a)

b = 1

b)

b > 1

c)

b < 0

d)

0 < b < 1

88.

Given y = 3(2.5)^x

What does 2.5 represent?

a)

Initial Amount

b)

y-intercept

c)

Growth Factor

d)

Growth Rate

89.

If y = ab^x represents an exponential growth function, what are the possible values of b?

a)

b = 1

b)

b > 1

c)

b < 0

d)

0 < b < 1

90.

Some banks charge a fee on savings accounts that are left inactive for an extended period of time. The equation y = 5000(0.98)^x represents the value, y, of one account that was left inactive for a period of x years.

What is the y-intercept of this equation and what does it represent?

a)

0.98, the percent of money in the account initially

b)

0.98, the percent of money in the account after x years

c)

5000, the amount of money in the account initially

d)

5000, the amount of money in the account after x years

91.

Which equation is represented by the table?

a)

y = 40(2)^x

b)

y = 40(1/2)^x

c)

y = 40 - 2x

d)

y = 40 - 1/2x

92.

What equation represents this table:

a)

$f\left(x\right)=\left(\frac{1}{3}\right)^x$

b)

$f\left(x\right)=3x+1$

c)

$f\left(x\right)=3^x$

d)

$f\left(x\right)=x^2+1$

93.

What type of equation goes with the ordered pairs:

(-1, 4) , (0, 2) , (1, 0) , (2, -2)

a)

$f\left(x\right)=\ 2^{-x}+1$

b)

$f\left(x\right)=\ -2x+2$

c)

$f\left(x\right)=-2^x+2$

d)

$f\left(x\right)=-4x+2$

94.

A(n) _________________ function will ADD the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

95.

A(n) _________________ function will MULTIPLY the same number each time.

a)

Linear

b)

Quadratic

c)

Exponential

d)

All of the above

96.

Is the equation linear or exponential?

a)

Linear

b)

Exponential

97.

Is the equation linear or exponential?

a)

Linear

b)

Exponential

98.

Is the table linear or exponential?

a)

Linear

b)

Exponential

99.

Uber charges an initial fee of $2 plus $0.75 per mile. What type of function is this?

a)

Linear

b)

Exponential

c)

Neither

100.

The iPhone X is valued at $1000 upon purchase. The value is expected to decrease by 14% each year. What type of function is this?

a)

Linear

b)

Exponential

c)

Neither

101.

This function has a pattern of adding or subtracting the same number to get from a y-value to the next y-value as the x value increases by 1.

a)

Linear

b)

Exponential

c)

Neither

102.

This function has a pattern of multiplying or dividing the same number from one y-value to the next y-value as the x-value increases by one.

a)

Linear

b)

Exponential

c)

Neither

103.

The graph of this function is a curve going up really fast or down really fast.

a)

Linear

b)

Exponential

c)

Neither

104.

Maggie is knitting blankets for the residents of a local nursing home. She already has 6 blankets completed. After one week, Kay has 8 blankets. After two weeks, Kay has 10 blankets. Kay's scenario is best represented by a _______________ function.

a)

Linear

b)

Quadratic

c)

Exponential

d)

None of the above

105.

In the first year of an annual 5K run there were 120 participants. In the 2nd and 3rd year of the 5K run, there were 180 and 270 participants respectively. This situation is best modeled by a(n) ________________ function.

a)

linear

b)

quadratic

c)

exponential

d)

none of the above

106.

Pick the equation that is exponential growth

a)

y=2(0.5)^x

b)

y = 0.5(2)^x

Algebra I Final Exam Review

Total questions: 106

Worksheet time: 4hrs 32mins

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